A Simple Quantum Model of Ultracold Polar Molecule Collisions

Abstract

We present a unified formalism for describing chemical reaction rates of trapped, ultracold molecules. This formalism reduces the scattering to its essential features, namely, a propagation of the reactant molecules through a gauntlet of long-range forces before they ultimately encounter one another, followed by a probability for the reaction to occur once they do. In this way, the electric-field dependence should be readily parametrized in terms of a pair of fitting parameters (along with a $C_6$ coefficient) for each asymptotic value of partial wave quantum numbers $|L,M⟩$. From this, the electric field dependence of the collision rates follows automatically. We present examples for reactive species such as KRb, and non-reactive species, such as RbCs.

References in corpus (6)

• A High Phase-Space-Density Gas of Polar Molecules
• Reactions of ultracold alkali metal dimers
• Strong dependence of ultracold chemical rates on electric dipole moments
• Universal resonant ultracold molecular scattering
• Energy Dependence of Scattering Ground State Polar Molecules
• Resonance phenomena in ultracold dipole-dipole scattering

Cited by in corpus (49)

• Condensed Matter Theory of Dipolar Quantum Gases
• A Fermi Degenerate Gas of Polar Molecules
• Manipulation of Molecules with Electromagnetic Fields
• Quantum Magnetism with Polar Alkali Dimers
• Resonant collisional shielding of reactive molecules using electric fields
• Production of a dual-species Bose-Einstein condensate of Rb and Cs atoms
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Collisions of ultracold molecules in bright and dark optical dipole traps
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Dynamics of ultracold molecules in confined geometry and electric field
• Shielding ${}^2\Sigma$ ultracold dipolar molecular collisions with electric fields
• Quantum reactive scattering of ultracold NH($X{}^3{\Sigma }^{-}$) radicals in a magnetic trap
• Universalities in ultracold reactions of alkali polar molecules
• Inelastic collisions and density-dependent excitation suppression in a ${}^{87}$Sr optical lattice clock
• Quantum theory of reactive collisions for 1/r^n potentials
• Van der Waals coefficients for systems with ultracold polar alkali-metal molecules
• Tuning ultracold collisions of excited rotational dipolar molecules
• Cold collision shift cancelation and inelastic scattering in a Yb optical lattice clock
• Multichannel Quantum Defect Theory for cold molecular collisions
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Unified model of ultracold molecular collisions
• Statistical product distributions for ultracold reactions in external fields
• Cold atomic and molecular collisions: approaching the universal loss regime
• Efficient method for quantum calculations of molecule - molecule scattering properties in a magnetic field
• d-Wave Superfluidity in Optical Lattices of Ultracold Polar Molecules
• Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics
• Quantum defect model of a reactive collision at finite temperature
• Chemical pathways in ultracold reactions of SrF molecules
• Molecular Collisions: from Near-cold to Ultra-cold
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Reactive collisions in confined geometries
• Quantum Defect Theory for Cold Chemistry with Product Quantum State Resolution
• Total angular momentum representation for atom-molecule collisions in electric fields
• Long-range interactions between ultracold atoms and molecules including atomic spin-orbit
• Universal bound and scattering properties for two dipoles
• Resonant control of polar molecules in an optical lattice
• Classical approach to collision complexes in ultracold chemical reactions
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Electric field dependence of complex-dominated ultracold molecular collisions
• Multichannel Quantum Defect Theory for cold molecular collisions with a strongly anisotropic potential energy surface
• Resonances in non-universal dipolar collisions
• Two-body loss rates for reactive collisions of cold atoms
• Reactive collisions of two ultracold particles in a harmonic trap
• Ultracold collisions of molecules
• Ultracold and dense samples of ground-state molecules in lattice potentials
• Long-range interactions between ultracold atoms and molecules
• Quantum reactive scattering in the long-range ion-dipole potential